Functionals for the means of observables for one-dimensional infinite-particle systems

被引：1
|
作者：
Ryabukha, T. V. [1 ]
机构：
[1] Natl Acad Sci Ukraine, Inst Math, Kiev, Ukraine
来源：
THEORETICAL AND MATHEMATICAL PHYSICS | 2010年 / 162卷 / 03期
关键词：
infinite-particle system; BBGKY hierarchy; dual BBGKY hierarchy; cumulant (semi-invariant); means of observables; MATHEMATICAL-DESCRIPTION; STATISTICAL-MECHANICS; EVOLUTION;
D O I：
10.1007/s11232-010-0028-0
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We study the problem of the existence of means of observables for infinite-particle systems. Using solutions of the Cauchy problems for the BBGKY hierarchy and for its dual, we prove the local existence in time of the mean-value functionals in the cases where either the observables or the states vary in time. We also discuss the problem of the existence of such functionals for several different classes of observables and for an arbitrary time interval.
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页码：352 / 365
页数：14
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